Regularization dependence of the Higgs mass triviality bound

TL;DR

This paper investigates how the Higgs mass bounds depend on regularization schemes by analyzing scalar field theories with large N symmetry, suggesting the possibility of a heavier Higgs without large cutoff effects.

Contribution

It extends the triviality bound analysis to models with O(N) symmetry at large N, providing universal bounds and numerical results for the physical N=4 case.

Findings

Higgs mass up to 0.75 TeV is feasible without large cutoff effects.

Triviality bounds show universality across different regularizations.

Numerical results for N=4 agree with large N predictions.

Abstract

We calculate the triviality bound on the Higgs mass in scalar field theory models whose global symmetry group $SU(2)_L \times SU(2)_{\rm custodial} \approx O(4)$ has been replaced by $O(N)$ and $N$ has been taken to infinity. Limits on observable cutoff effects at four percent in several regularized models with tunable couplings in the bare action yield triviality bounds displaying a large degree of universality. Extrapolating from $N=\infty$ to $N=4$ we conservatively estimate that a Higgs particle with mass up to $0.750~TeV$ and width up to $0.290~TeV$ is realizable without large cutoff effects, indicating that strong scalar self interactions in the standard model are not ruled out. We also present preliminary numerical results of the physical $N=4$ case for the $F_4$ lattice that are in agreement with the large $N$ expectations. Note: The full ps file is also available via anonymous ftp to ftp.scri.fsu.edu. To get the ps file, ftp to this address and use for username "anonymous" and for password your name. The file is in the directory pub/vranas (to go to that directory type: cd pub/vranas) and is called lat92_proc.ps (to get it type: get lat92_proc.ps)